GCF of 4068/727, 2520/9215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4068/727, 2520/9215 i.e 36/6699305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4068/727, 2520/9215.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4068/727,2520/9215?
Given fractions are 4068/727,2520/9215
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4068/727,2520/9215, numerators are 4068,2520
Denominators are 727,9215
The GCF of 4068,2520 is 36 .
LCM of 727,9215 is 6699305.
The greatest common factor of 4068/727,2520/9215 = [GCF of 4068,2520]/[LCM of 727,9215]= 36/6699305
Therefore, the GCF of 4068/727,2520/9215 is 36/6699305.
To find the highest common factor of 4068,2520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The HCF of 4068,2520 is 36.
Lets's calculate GCF of 4068,2520
| 2 | 4068, 2520 |
| 2 | 2034, 1260 |
| 3 | 1017, 630 |
| 3 | 339, 210 |
| 113, 70 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 4068,2520 By Matching Biggest Common Factor Method
Now, list down the factors of 4068
:1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 4068,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 4068,2520 is 36.
Lets's calculate LCM of 727,9215
Given numbers has no common factors except 1. So, there LCM is their product i.e 6699305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/6699305
Therefore, the GCF of Fractions 4068/727,2520/9215 is 36/6699305
Least Common Multiple of 727,9215 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 727,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,9215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,9215) x common factors =1 x 1 = 1
LCM(727,9215) = ( 727 × 9215 ) / 1
LCM(727,9215) = 6699305 / 1
LCM(727,9215) = 6699305
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FAQs on GCF of Fractions of 4068/727, 2520/9215
1. What is the HCF of 4068,2520?
The HCF of 4068,2520 is 36
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4068/727, 2520/9215?
Answer: GCF of Numerators as per given numbers 4068/727, 2520/9215 is
GCF of Numerators i.e. for 4068,2520 is 36
LCM of denominators i.e. for 727,9215 is 6699305.
Thus, GCF of Fractions is 36/6699305.Finally, GCF of Fractions for 4068/727, 2520/9215 is 36/6699305.